RPS #007 - A Little Harder Than The #006 One

Let $F_k(n)$ denotes the $n^{th}$ term of the series $F_k$ for every positive integer $n$

If the $n^{th}$ term of series $F_1$ defined as $F_1(n) = n$ , and $F_{k+1}(n) = \sum_{i=0}^{n-1} F_k(1+i)$ Find the value of $F_{2015}(3)$